Let Q1, Q2, Q3 be constants so that (Q1, Q2) is the criticalpoint of the function f(x, y) = (90)x 2 + (0)xy + (90)y 2 + (−72)x+ (96)y + (40), and Q3 = 1 if f has a local minimum at (Q1, Q2), Q3= 2 if f has a local maximum at (Q1, Q2), Q3 = 3 if f has a saddlepoint at (Q1, Q2), and Q3 = 4 otherwise. Let Q = ln(3 + |Q1| +2|Q2| + 3|Q3|). Then T = 5 sin2 (100Q)
satisfies:— (A) 0 ≤ T < 1. — (B) 1 ≤ T < 2. — (C) 2 ≤ T< 3. — (D) 3 ≤ T < 4. — (E) 4 ≤ T ≤ 5
